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Course 2 MATHia SoftwareProblem Solvingusing Ratio andRate onalRelationships byEquationsOverviewCCSSProblem Solving with Equivalent Ratios andRates using TablesStudents use a table to solve problems involving equivalent ratios and rates.7.RP.A.2 Problem Solving with Equivalent Ratios andRates using Double Number LinesStudents use a double number line to solve problems involving equivalentratios and rates.7.RP.A.2 Problem Solving with Equivalent Ratios andRates using GraphsStudents use a graph to solve problems involving equivalent ratios and rates.7.RP.A.2 Solving Proportions using Equivalent RatiosStudents calculate unknown values in a given scenario using equivalent ratios.7.RP.A.2.c Solving Proportions using Means andExtremesStudents calculate unknown values in a given scenario using the means andextremes method.7.RP.A.2.c Introduction to Direct VariationGiven a scenario, students define the varying quantities, write proportions,and determine the common ratio between the two variables. They then usethe proportions to write direct variation equations and solve problems.7.RP.A.2.a7.RP.A.2.bWriting Direct Variation EquationsGiven a table, students determine a constant of proportionality, write anassociated proportion, graph the points from the table, and write a directvariation equation for the table.7.RP.A.2.b7.RP.A.2.c Converting Between Proportions and DirectVariation EquationsGiven a scenario, students define variables, determine a constant orproportionality, write a proportion, and write a specified direct variationequation.7.RP.A.2.b7.RP.A.2.c Modeling Direct VariationGiven a scenario, students complete a table of values, write a direct variationequation, plot values from the table, and draw the line representing the directvariation equation.7.RP.A.2.b7.RP.A.2.d Determining Characteristics of Direct VariationGraphsGiven graphs, students determine if the graph represents a direct variationequation.7.RP.A.2.aExploreClassification ToolsMATHia WorkspaceWorked ExamplesMATHia UnitProportional RelationshipsAnimation1Problem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 1

Course 2 MATHia SoftwareMATHia WorkspaceOverviewPercentConversionsFractional Percent ModelsStudents extend their understanding of percent models to models that includefractional percents and percents less than 1. Students watch an animation andanswer questions to deepen their understanding of conversions.7.RP.A.3Converting with Fractional Percents*Students practice converting between fractions, decimals, and percents.7.RP.A.3Using Proportions to Solve Percent ProblemsStudents examine partial worked examples to solve for the part, percents, orwhole in percent problems using equivalent fractions and proportions.7.RP.A.3Solving Simple Percent Problems*Students practice problems in which they solve for the part, the percent, orwhole in percent problems using proportions.7.RP.A.3Calculating Percent Change and Final AmountsStudents determine the percent increase or decrease or the final amount in apercent change problem using equivalent ratios or means and extremes.7.RP.A.3 Using Percents and Percent ChangeStudents will use proportions to solve a variety of percent equations fromgiven scenarios.7.RP.A.3 ProportionalReasoning andPercentsProblemSolving withPercents ation ToolsMATHia UnitWorked ExamplesProportional Reasoning and PercentsAnimation2Problem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 2

Course 2 MATHia SoftwareIntegerOperationsOverviewCCSSAdding and Subtracting Negative IntegersStudents use an interactive number line to add and subtract negativenumbers.7.NS.A.1Using Number Lines to Add and SubtractIntegersStudents practice adding and subtracting on number lines using a similarmodel to the one they used on the interactive number line.7.NS.A.1Multiplying and Dividing IntegersStudents model problems involving the multiplication of integers and use factfamilies to explore dividing integers.7.NS.A.2Using Order of Operations to Simplify NumericExpressions (No Type In)Students practice simplifying a variety of numeric expressions.7.NS.A.3 Using Order of Operations to Simplify NumericExpressions (Type In)Students practice simplifying a variety of numeric expressions.7.NS.A.3 ExploreClassification ToolsMATHia WorkspaceWorked ExamplesMATHia UnitRational Number OperationsAnimation3Problem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 3

Course 2 MATHia SoftwareVariableExpressionsModeling TwoStep Expressionsand EquationsOverviewFactoring Linear ExpressionsStudents model the product of two factors and explore different factors ofexpressions through the use of an interactive tool. They use the DistributiveProperty in reverse to factor expressions.7.EE.A.1Using Order of Operations to SimplifyAlgebraic Expressions (Type In)Students simplify variable expressions by combining like terms, by usingnumber properties, and by using the order or operations.7.EE.A.1 Using Picture Algebra with EquationsStudents will create visual models for given scenarios, write two-stepexpressions and equations, and then use mental math to solve for unknownvalues.7.EE.B.4 Modeling Two-Step EquationsFrom given scenarios, students determine unknown values and enter valuesinto tables to recognize patterns. Students express these patterns in two-stepexpressions and use the solver tool to solve two-step equations.7.EE.B.4 Checking Solutions to Linear EquationsStudents substitute given values into two-step equations to determine thevalues are solutions to the equations.7.EE.B.4.a Solving with Multiplication (No Type In)Students solve two-step equations involving multiplication using the solver.7.EE.B.4.aStudents solve two-step equations involving multiplication.7.EE.B.4.aSolving with Division (No Type In)Students solve two-step equations involving division using the solver.7.EE.B.4.aSolving with Division (Type In)Students solve two-step equations involving division.7.EE.B.4.aSolving Two-Step EquationsStudents solve two-step equations involving all four operations.7.EE.B.4.aGraphing Inequalities with Rational NumbersStudents graph simple inequalities involving rational numbers on a numberline.7.EE.B.4.b Solving Two-Step Linear InequalitiesStudents solve two-step linear inequalities.7.EE.B.4.b Using Linear Equations and InequalitiesStudents write equations and inequalities to represent problem situations.Students solve and interpret the solutions to the equations and inequalities inthe context of the problem.7.EE.B.37.EE.B.4 Solving Problems with IntegersStudents write algebraic expressions involving integers to represent problemscenarios and to determine output values. Students solve equations todetermine input values.7.EE.B.37.EE.B.4.a Solving Problems with Decimals and FractionsStudents write algebraic expressions involving decimals and fractions torepresent problem scenarios and to determine output values. Students solveequations to determine input values.7.EE.B.37.EE.B.4.a Solving Two-Step Solving with Multiplication (Type In)EquationsSolving Two-StepInequalitiesProblem Solvingwith Two-StepEquations andInequalitiesCCSSExploreClassification ToolsMATHia WorkspaceWorked ExamplesMATHia UnitTwo-Step Equations and InequalitiesAnimation4Problem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 4

Course 2 MATHia SoftwareThe CoordinatePlane and TwoStep EquationsSolving LinearEquations withSimilar TermsGraphs of EquationsStudents model and analyze the graphs of linear equations. Students identifykey characteristics of the graphs and use them to interpret problem situations.7.EE.B.4.aUsing Graphs to Solve EquationsStudents watch an animation as they learn how to model the solution of alinear equation graphically. Students practice solving problems by modelinglinear equations.7.EE.B.4.aSolving by Combining Like Variable Terms anda Constant with Integers (No Type In)Students combine like terms and then solve for a variable given an equationwith integer coefficients and constants.7.EE.B.4.a Solving by Combining Like Variable Terms anda Constant with Integers (Type In)Students combine like terms and then solve for a variable given an equationwith integer coefficients and constants.7.EE.B.4.a Solving by Combining Like Variable Terms anda Constant with Decimals (No Type In)Students combine like terms and then solve for a variable given an equationwith decimal coefficients and constants.7.EE.B.4.a Solving by Combining Like Variable Terms anda Constant with Decimals (Type In)Students combine like terms and then solve for a variable given an equationwith decimal coefficients and constants.7.EE.B.4.a ExploreCCSSClassification ToolsOverviewWorked ExamplesMATHia WorkspaceAnimationMATHia UnitProblem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 5

Course 2 MATHia SoftwareAngle PropertiesExploreClassification ToolsMATHia WorkspaceOverviewCCSSCalculating AnglesStudents use an interactive circular protractor to measure angles anddetermine angle sums.7.G.B.5 Classifying Angles and Determining UnknownMeasuresStudents identify complementary, supplementary, and vertical angles. Theywrite and solve equations to solve for unknown angle measures.7.G.B.5 Using Scale DrawingsStudents analyze models to determine if they are scale drawings of largerobjects. They use scale factors and proportions to determine lengths andareas of scaled figures.7.G.A.1 Using Scale FactorStudents use scale factors to determine unknown measures in real-lifescenarios.7.G.A.1 Calculating Volume of PyramidsStudents calculate the volume of pyramids in mathematical and real-worldcontexts using given measurements.7.G.B.6 Using Volume of PyramidsStudents apply their reasoning to determine volume of pyramids and solvevolume problems.7.G.B.6 Scale DrawingsVolume ofPyramidsWorked ExamplesMATHia UnitGeometryAnimation5Problem SolvingTable of Contents for Supplemental Implementations*Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 6

Course 2 MATHia SoftwareComparingNumerical DataDisplaysIntroduction toProbabilityMATHia WorkspaceOverviewComparing Characteristics of Data DisplaysStudents compare the characteristics of data displays, specifying whichnumerical characteristics can be determined from each display.7.SP.B.3 Comparing Populations using Data DisplaysStudents use data displays to compare populations by determining the visualoverlap and describing the difference between the measures of centers interms of measures of variability.7.SP.B.3 Determining ProbabilitiesStudents build probability models and determine probabilities of simple anddisjoint events. They use proportions to make predictions based on samplesand theoretical probabilities.7.SP.C.57.SP.C.7.aComparing Experimental and TheoreticalProbabilitiesStudents examine data from probability experiments and compare withtheoretical probabilities. They use results of probability experiments to makeconjectures about theoretical probabilities.7.SP.C.67.SP.C.7.bCalculating Compound ProbabilitiesStudents use simulation, tree diagrams, organized lists, and tables todetermine compound probabilities.7.SP.C.8ExploreClassification ToolsCCSSWorked ExamplesMATHia UnitData Comparisons and ProbabilityAnimation6Problem SolvingTable of Contents for Supplemental Implementations *Indicates practice problems08/23/17Course 2 MATHia Software: Table of Contents for Supplemental Implementations 7

Students graph simple inequalities involving rational numbers on a number line. 7.EE.B.4.b Solving Two-Step Linear Inequalities Students solve two-step linear inequalities. 7.EE.B.4.b Problem Solving with Two-Step Equations and Inequalities Using Linear Equations and Inequalities Students write equ